806436 has 60 divisors (see below), whose sum is σ = 2236080. Its totient is φ = 252720.

The previous prime is 806389. The next prime is 806447. The reversal of 806436 is 634608.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

806436 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6091 + ... + 6221.

It is an arithmetic number, because the mean of its divisors is an integer number (37268).

2⁸⁰⁶⁴³⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 806436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1118040).

806436 is an abundant number, since it is smaller than the sum of its proper divisors (1429644).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

806436 is a wasteful number, since it uses less digits than its factorization.

806436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 806436 is about 898.0178171952. The cubic root of 806436 is about 93.0800559367.

It can be divided in two parts, 8064 and 36, that added together give a square (8100 = 90²).

The spelling of 806436 in words is "eight hundred six thousand, four hundred thirty-six".